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Finding the Fourth Proportional to 9,995.06, 15,002.70 and 5,843

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Solution

The fourth proportional to 9,995.06, 15,002.70 and 5,843 is: 8,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.06 : 15,002.70 = 5,843 : x
  2. Step 2: Convert to fraction form
    9,995.06/15,002.70 = 5,843/x
  3. Step 3: Cross multiply
    9,995.06x = 15,002.70 × 5,843
  4. Step 4: Simplify right side
    9,995.06x = 87,660,776.10
  5. Step 5: Solve for x
    x = 87,660,776.10/9,995.06
  6. Step 6: Final answer
    x = 8,770.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.